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We consider a discrete model that describes a linear chain of particles coupled to two defects. This model can be regarded as a linear generalization of the familiar Fano–Anderson model. The analytical result for the plane wave transmission coefficient is obtained. Comparing the transmission coefficient of Gaussian wave with that of plane wave, we can draw a conclusion that arising perfect reflection due to destructive interference depends on the input waveform of incident particle and a necessary switching condition of Fano resonance is the input plane wave. This interesting feature may play a guiding role in devising various particle switches in theory and experiment.

A gas trigatron type gap for a 36-channel ring switch of a five-cascade water-insulated double step forming line with output impedance of 2.9 Ohm “Gamma-1” high-current electron accelerator is described in this paper. At discharge operating voltage of 1 MV its overall dimensions are: height ~ 160 mm, diameter ~ 240 mm. When operated with a mixture of insulating gas and nitrogen in proportion 40%SF₆+60%N₂ at 17 MPa pressure, the trigger delay is (16 ± 2) ns, with a self-break safety margin of not less than 1.5. The gap electrode surfaces are made of tungsten alloy. When operating as a part of the double step forming line switch, the average energy, switched through a single gap, is 3.3 kJ, and the current is 95 kA.